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Home/ Questions/Q 8035543
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Editorial Team
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Editorial Team
Asked: June 5, 20262026-06-05T02:20:39+00:00 2026-06-05T02:20:39+00:00

I’m doing a per fragment lighting and when correcting normal vecter, i got this

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I’m doing a per fragment lighting and when correcting normal vecter, i got this code: vec3 f_normal = mat3(MVI) * normal; Where MVI is: mat4 MVI = transpose(inverse(ModelViewMatrix));. So what is return after mat3(MVI) statement?

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  1. Editorial Team
    Editorial Team
    2026-06-05T02:20:40+00:00Added an answer on June 5, 2026 at 2:20 am
    mat3(MVI) * normal
    

    Returns the upper 3×3 matrix from the 4×4 matrix and multiplies the normal by that. This matrix is called the ‘normal matrix’. You use this to bring your normals from world space to eye space. The upper 3×3 portion of the matrix is important for scale and rotation, while the rest is only for translation (and normals are never translated)

    To take a normal from world space to eye space, you just need the 3×3 inverse transpose of the model view matrix. Unless your matrix in othro normal (no non-uniform scale) in that case the original matrix is the same as its inverse transpose.

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